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Showing 1 to 1 of 1 for “"Poset-Indexed Diagrams"”.
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Generalized Rank Invariant : Structure, Möbius Inversion, and Persistence Diagram
… capture subtle interactions across the indexing poset. In this thesis we develop and study a generalized rank invariant for $\mathbf{vec}$-valued functors indexed by arbitrary posets. Our goal is to extend the classical rank invariant so that it reflects the full combinatorial structure of …